Topological Degree via a Degree of Nondensifiability and Applications
Copyright policy )Topological Degree via a Degree of Nondensifiability and Applications
The goal of this work is to introduce the notion of topological degree via the principle of the degree of nondensifiability (DND for short). We establish some new fixed point theorems, concerning, Schaefer’s fixed point theorem and the nonlinear alternative of Leray–Schauder type. As applications, we study the existence of mild solution of functional semilinear integro-differential equations.
<i>k</i>−<i>φ<sub>d</sub></i>−contraction, Nonlinear Operators, Engineering, Homogeneous Structures, mild solution, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Modeling and Control of Port-Hamiltonian Systems, Degree (music), <i>α</i>-dense curves, topological degree, Model Theory and Topological Dynamics, Topology (electrical circuits), Physics, Iterative Algorithms for Nonlinear Operators and Optimization, Acoustics, resolvent operator, Computer science, degree of nondensifiability, Topological Dynamics, Computational Theory and Mathematics, Control and Systems Engineering, Combinatorics, DND, Computer Science, Physical Sciences, Geometry and Topology, Mathematics, Nonlinear Systems
<i>k</i>−<i>φ<sub>d</sub></i>−contraction, Nonlinear Operators, Engineering, Homogeneous Structures, mild solution, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Modeling and Control of Port-Hamiltonian Systems, Degree (music), <i>α</i>-dense curves, topological degree, Model Theory and Topological Dynamics, Topology (electrical circuits), Physics, Iterative Algorithms for Nonlinear Operators and Optimization, Acoustics, resolvent operator, Computer science, degree of nondensifiability, Topological Dynamics, Computational Theory and Mathematics, Control and Systems Engineering, Combinatorics, DND, Computer Science, Physical Sciences, Geometry and Topology, Mathematics, Nonlinear Systems
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